| Journal: | Journal of the Brazilian Society of Mechanical Sciences |
| Database: | PERIÓDICA |
| System number: | 000312063 |
| ISSN: | 0100-7386 |
| Authors: | Fernandes, Sandro da Silva1 |
| Institutions: | 1Instituto Tecnologico de Aeronautica, Departamento de Matematica, Sao Jose dos Campos, Sao Paulo. Brasil |
| Year: | 2001 |
| Volumen: | 23 |
| Number: | 2 |
| Pages: | 123-138 |
| Country: | Brasil |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | Some properties of generalized canonical systems - special dynamical systems described by a Hamiltonian function linear in the adjoint variables - are applied in determining the solution of the two-dimensional coast-arc problem in an inverse-square gravity field. A complete closed-form solution for Lagrangian multipliers - adjoint variables - is obtained by means of such properties for elliptic, circular, parabolic and hyperbolic motions. Classic orbital elements are taken as constants of integration of this solution in the case of elliptic, parabolic and hyperbolic motions. For circular motion, a set of nonsingular orbital elements is introduced as constants of integration in order to eliminate the singularity of the solution |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Lagrange, Multiplicadores, Trayectorias, Optimización, Orbitas |
| Keyword: | Mathematics, Pure mathematics, Lagrange, Multipliers, Trajectories, Optimization, Orbits |
| Full text: | Texto completo (Ver HTML) |
